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Physics > History and Philosophy of Physics

Title:
Noncommutativity and Humanity -- Julius Wess and his Legacy

Abstract: A personal view on Julius Wess's human and scientific legacy in Serbia and
the Balkan region is given. Motivation for using noncommutative and
nonarchimedean geometry on very short distances is presented. In addition to
some mathematical preliminaries, we present a short introduction in adelic
quantum mechanics in a way suitable for its noncommutative generalization. We
also review the basic ideas and tools embedded in $q$-deformed and
noncommutative quantum mechanics. A rather fundamental approach, called
deformation quantization, is noted. A few relations between noncommutativity
and nonarchimedean spaces, as well as similarities between corresponding
quantum theories, in particular, quantum cosmology are pointed out. An extended
Moyal product in a frame of an adelic noncommutative quantum mechanics is also
considered.